Nonlinear bandwidth compression circuitry

ABSTRACT

Nonlinear bandwidth compression circuitry is provided. In examples discussed herein, nonlinear bandwidth compression circuitry can be configured to modify predefined amplitude(s) of a predefined voltage waveform to generate modified amplitude(s) of a modified voltage waveform that is never less than the predefined amplitude(s) of the predefined voltage waveform. Thus, by providing the nonlinear bandwidth compression circuitry in an envelope tracking (ET) system to perform bandwidth compression, signal distortion(s) resulted from the bandwidth compression can be corrected (e.g., via digital pre-distortion). As such, the ET system can amplify a radio frequency (RF) signal having a signal modulation bandwidth exceeding a voltage modulation bandwidth limitation of the ET system, without degrading spectral performance of the RF signal.

RELATED APPLICATIONS

This application claims the benefit of provisional patent application Ser. No. 62/568,961, filed Oct. 6, 2017, and provisional patent application Ser. No. 62/573,911, filed Oct. 18, 2017, the disclosures of which are hereby incorporated herein by reference in their entirety.

FIELD OF THE DISCLOSURE

The technology of the disclosure relates generally to envelope tracking power management in wireless communication devices.

BACKGROUND

Mobile communication devices have become increasingly common in current society. The prevalence of these mobile communication devices is driven in part by the many functions that are now enabled on such devices. Increased processing capabilities in such devices means that mobile communication devices have evolved from being pure communication tools into sophisticated mobile multimedia centers that enable enhanced user experiences.

The redefined user experience requires higher data rates offered by wireless communication technologies, such as long-term evolution (LTE). To achieve the higher data rates in mobile communication devices, sophisticated power amplifiers (PAs) may be employed to increase output power of radio frequency (RF) signals (e.g., maintaining sufficient energy per bit) communicated by mobile communication devices. However, the increased output power of RF signals can lead to increased power consumption and thermal dissipation in mobile communication devices, thus compromising overall performance and user experiences.

Envelope tracking is a power management technology designed to improve efficiency levels of PAs to help reduce power consumption and thermal dissipation in mobile communication devices. As the name suggests, envelope tracking employs a system that keeps track of the amplitude envelope of the RF signals communicated by mobile communication devices. The envelope tracking system constantly adjusts supply voltage applied to the PAs to ensure that the PAs are operating at a higher efficiency for a given instantaneous output power requirement of the RF signals.

However, the envelope tracking system can only maintain good linearity and high efficiency up to an inherent bandwidth limit. In the advent of fifth-generation new radio (5G-NR) technology, the RF signals may be modulated with a higher bandwidth than the inherent bandwidth limit of the envelope tracking system, thus reducing linearity and efficiency of the envelope tracking system. As such, it may be desirable to improve linearity and efficiency of the envelope tracking system to support the 5G-NR technology.

SUMMARY

Aspects disclosed in the detailed description include nonlinear bandwidth compression circuitry. In examples discussed herein, nonlinearly bandwidth compression circuitry can be configured to modify predefined amplitude(s) of a predefined voltage waveform to generate modified amplitude(s) of a modified voltage waveform that is never less than the predefined amplitude(s) of the predefined voltage waveform. Thus, by providing the nonlinear bandwidth compression circuitry in an envelope tracking (ET) system to perform bandwidth compression, signal distortion(s) resulting from the bandwidth compression can be corrected (e.g., via digital pre-distortion). As such, the ET system can amplify a radio frequency (RF) signal having a signal modulation bandwidth exceeding a voltage modulation bandwidth limitation of the ET system, without degrading spectral performance of the RF signal.

In one aspect, nonlinear bandwidth compression circuitry is provided. The nonlinear bandwidth compression circuitry includes an input node, an output node, and a reference node. The nonlinear bandwidth compression circuitry also includes a delay path provided between the input node and the reference node. The nonlinear bandwidth compression circuitry also includes control circuitry. The control circuitry includes a reference input interface coupled to the reference node, an output interface coupled to the output node, one or more input interfaces, and a feedback interface. The nonlinear bandwidth compression circuitry also includes a number of combiners provided in parallel between the delay path and the one or more input interfaces in the control circuitry, respectively. The nonlinear bandwidth compression circuitry also includes feedback circuitry provided between the output interface and the feedback interface.

Those skilled in the art will appreciate the scope of the present disclosure and realize additional aspects thereof after reading the following detailed description of the preferred embodiments in association with the accompanying drawing figures.

BRIEF DESCRIPTION OF THE DRAWING FIGURES

The accompanying drawing figures incorporated in and forming a part of this specification illustrate several aspects of the disclosure, and together with the description serve to explain the principles of the disclosure.

FIG. 1 is a schematic diagram of an exemplary orthogonal frequency division multiplexing (OFDM) time-frequency grid illustrating at least one resource block (RB);

FIG. 2A is a schematic diagram of an exemplary conventional envelope tracking (ET) system that can degrade spectral performance of a radio frequency (RF) signal having a wide modulation bandwidth;

FIG. 2B is a graphic diagram providing an exemplary illustration of a desirable power amplifier output spectrum of the RF signal of FIG. 2A;

FIG. 2C is a graphic diagram providing an exemplary illustration of a degraded power amplifier output spectrum of the RF signal of FIG. 2A;

FIG. 3 is a schematic diagram of an exemplary ET system configured to amplify an RF signal, which has a wide modulate bandwidth, based on an ET modulated voltage generated by tracker circuitry having a limited voltage modulation bandwidth without causing spectral degradation in the RF signal;

FIG. 4 is a graphic diagram providing an exemplary illustration of an improved power amplifier output spectrum associated with the ET system of FIG. 3;

FIG. 5 is a schematic diagram providing an exemplary more detailed illustration of the ET system of FIG. 3;

FIG. 6 is a schematic diagram of an exemplary ET system configured to perform digital pre-distortion (DPD) on a digital signal based on in-phase/quadrature (I/O) modulation;

FIG. 7 is a schematic diagram providing an exemplary illustration of nonlinear bandwidth compression circuitry provided in the ET system of FIG. 3 according to one embodiment of the present disclosure;

FIG. 8 is a graphic diagram providing an exemplary illustration of a time-variant modified amplitude envelope and a time-variant predefined amplitude envelope;

FIG. 9 is a schematic diagram of exemplary nonlinear bandwidth compression circuitry configured according to a specific embodiment of the nonlinear bandwidth compression circuitry of FIG. 7;

FIG. 10 is a schematic diagram of exemplary nonlinear bandwidth compression circuitry configured according to another embodiment of the present disclosure;

FIG. 11A is a schematic diagram of an exemplary voltage-to-logarithm transform circuitry, which can be provided in the nonlinear bandwidth compression circuitry of FIG. 10;

FIG. 11B is a schematic diagram of an exemplary logarithm-to-voltage transform circuitry, which can be provided in the nonlinear bandwidth compression circuitry of FIG. 10;

FIG. 11C is a schematic diagram of an exemplary square transform circuitry, which can be provided in the nonlinear bandwidth compression circuitry of FIG. 10;

FIG. 11D is a schematic diagram of an exemplary square-root transform circuitry, which can be provided in the nonlinear bandwidth compression circuitry of FIG. 10; and

FIG. 12 is a schematic diagram of an exemplary nonlinear bandwidth compression circuitry according to another embodiment of the present disclosure.

DETAILED DESCRIPTION

The embodiments set forth below represent the necessary information to enable those skilled in the art to practice the embodiments and illustrate the best mode of practicing the embodiments. Upon reading the following description in light of the accompanying drawing figures, those skilled in the art will understand the concepts of the disclosure and will recognize applications of these concepts not particularly addressed herein. It should be understood that these concepts and applications fall within the scope of the disclosure and the accompanying claims.

It will be understood that, although the terms first, second, etc. may be used herein to describe various elements, these elements should not be limited by these terms. These terms are only used to distinguish one element from another. For example, a first element could be termed a second element, and, similarly, a second element could be termed a first element, without departing from the scope of the present disclosure. As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

It will be understood that when an element such as a layer, region, or substrate is referred to as being “on” or extending “onto” another element, it can be directly on or extend directly onto the other element or intervening elements may also be present. In contrast, when an element is referred to as being “directly on” or extending “directly onto” another element, there are no intervening elements present. Likewise, it will be understood that when an element such as a layer, region, or substrate is referred to as being “over” or extending “over” another element, it can be directly over or extend directly over the other element or intervening elements may also be present. In contrast, when an element is referred to as being “directly over” or extending “directly over” another element, there are no intervening elements present. It will also be understood that when an element is referred to as being “connected” or “coupled” to another element, it can be directly connected or coupled to the other element or intervening elements may be present. In contrast, when an element is referred to as being “directly connected” or “directly coupled” to another element, there are no intervening elements present.

Relative terms such as “below” or “above” or “upper” or “lower” or “horizontal” or “vertical” may be used herein to describe a relationship of one element, layer, or region to another element, layer, or region as illustrated in the Figures. It will be understood that these terms and those discussed above are intended to encompass different orientations of the device in addition to the orientation depicted in the Figures.

The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the disclosure. As used herein, the singular forms “a,” “an,” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises,” “comprising,” “includes,” and/or “including” when used herein specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.

Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs. It will be further understood that terms used herein should be interpreted as having a meaning that is consistent with their meaning in the context of this specification and the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.

Aspects disclosed in the detailed description include nonlinear bandwidth compression circuitry. In examples discussed herein, nonlinear bandwidth compression circuitry can be configured to modify predefined amplitude(s) of a predefined voltage waveform to generate modified amplitude(s) of a modified voltage waveform that is never less than the predefined amplitude(s) of the predefined voltage waveform. Thus, by providing the nonlinear bandwidth compression circuitry in an envelope tracking (ET) system to perform bandwidth compression, signal distortion(s) resulting from the bandwidth compression can be corrected (e.g., via digital pre-distortion). As such, the ET system can amplify a radio frequency (RF) signal having a signal modulation bandwidth exceeding a voltage modulation bandwidth limitation of the ET system, without degrading spectral performance of the RF signal.

Before discussing the nonlinear bandwidth compression circuitry of the present disclosure, a brief overview of an RB-based resource allocation scheme is first provided with reference FIG. 1 to help understand the relationship between bandwidth of an RF signal and the number of RBs allocated to the RF signal. A brief discussion of a conventional ET system for amplifying the RF signal is then provided with reference to FIGS. 2A-2C. A discussion of an ET system in which the nonlinear bandwidth compression circuitry can be employed is then discussed with reference to FIGS. 3-6. The discussion of specific exemplary aspects of the nonlinear bandwidth compression circuitry according to the present disclosure starts below with reference to FIG. 7.

In this regard, FIG. 1 is a schematic diagram of an exemplary orthogonal frequency division multiplexing (OFDM) time-frequency grid 10 illustrating at least one RB 12. The OFDM time-frequency grid 10 includes a frequency axis 14 and a time axis 16. Along the frequency axis 14, there are a number of subcarriers 18(1)-18(M). The subcarriers 18(1)-18(M) are orthogonally separated from each other by a frequency spacing Δf of 15 KHz. Along the time axis 16, there are a number of OFDM symbols 20(1)-20(N). Each intersection of the subcarriers 18(1)-18M) and the OFDM symbols 20(1)-20(N) defines a resource element (RE) 21.

In one example, the RB 12 includes twelve (12) consecutive subcarriers among the subcarriers 18(1)-18(M), and seven (7) consecutive OFDM symbols among the OFDM symbols 20(1)-20(N). In this regard, the RB 12 includes eighty-four (84) of the REs 21 (12 subcarriers×7 OFDM symbols). The RB 12 has an RB duration 22, which equals a one-half millisecond (0.5 ms), along the time axis 16. Accordingly, the RB 12 has a bandwidth 24, which equals 180 KHz (15 KHz/subcarrier×12 subcarriers), along the frequency axis 14. In OFDM-based communication systems such as long-term evolution (LTE) and fifth-generation new radio (5G-NR), the RB 12 is the minimum unit for allocating resources to users.

In an LTE system, an RF signal 26 can occupy multiple subcarriers among the subcarriers 18(1)-18(M). In this regard, a signal bandwidth 28 of the RF signal 26 is a function of the number of RBs 12 contained in the RF signal 26 along the frequency axis 14. In this regard, if the RF signal 26 contains ten (10) RBs 12, then the signal bandwidth 28 will be 1.8 MHz (180 KHz/RB×10 RBs). If the RF signal 26 contains twenty-five (25) RBs 12, then the signal bandwidth 28 will be 4.5 MHz (180 KHz/RB×25 RBs). If the RF signal 26 contains two hundred (200) RBs 12, then the signal bandwidth 28 will be 36 MHz (180 KHz/RB×200 RBs). In this regard, the more RBs 12 the RF signal 26 contains, the wider the signal bandwidth 28 will be, and the more subcarriers among the subcarriers 18(1)-18(M) are modulated within the RB duration 22. As such, the RF signal 26 can exhibit more and faster amplitude variations within the RB duration 22 when the RF signal 26 is modulated according to a selected modulation and coding scheme (MCS). As a result, when the RF signal 26 is amplified for transmission over a wireless medium, a power amplifier circuit would need to operate fast enough to keep up with the faster amplitude variations of the RF signal 26 across the signal bandwidth 28 within the RB duration 22. Accordingly, a circuit providing ET modulated voltage to the power amplifier circuit needs to provide the ET modulation at a faster frequency (e.g., 250 MHz or above) to keep up with the fast operation of the power amplifier circuit.

FIG. 2A is a schematic diagram of an exemplary conventional ET system 30 that can degrade spectral performance of an RF signal 32 having a wide modulation bandwidth. In examples discussed hereinafter, such terms as “wide modulation bandwidth” refer to a resource allocation of more than 200 RBs in a corresponding signal, which can be a digital signal or an RF signal.

The conventional ET system 30 includes transceiver circuitry 34, tracker circuitry 36, and an amplifier circuit 38. The transceiver circuitry 34 is configured to modulate the RF signal 32 to the wide modulation bandwidth and generate a time-variant signal envelope 40 representing time-variant amplitude variations of the RF signal 32. In this regard, the time-variant signal envelope 40 can correspond to a voltage bandwidth that is significantly larger than the wide modulation bandwidth of the RF signal 32. The tracker circuitry 36 is configured to generate an ET modulated voltage V_(CC) and provide the ET modulated voltage V_(CC) to the amplifier circuit 38. The amplifier circuit 38 is configured to amplify the RF signal 32 for transmission based on the ET modulated voltage V_(CC).

In order for the amplifier circuit 38 to operate with good linearity and high efficiency, time-variant amplitude of the ET modulated voltage V_(CC) needs to closely track the time-variant signal envelope 40. To do so, the tracker circuitry 36 needs to support a voltage modulation bandwidth that matches the voltage bandwidth of the time-variant signal envelope 40.

When the voltage modulation bandwidth of the tracker circuitry 36 exceeds the voltage bandwidth of the time-variant signal envelope 40, the amplifier circuit 38 can be configured to amplify the RF signal 32 with low spectral regrowth, as shown in FIG. 2B. In this regard, FIG. 2B is a graphic diagram providing an exemplary illustration of a desirable power amplifier output spectrum 42 of the RF signal 32 of FIG. 2A when the voltage modulation bandwidth of the tracker circuitry 36 exceeds the modulation bandwidth of the RF signal 32.

In a non-limiting example, the RF signal 32 is modulated to a modulation bandwidth 44 of 100 MHz. If the voltage modulation bandwidth of the tracker circuitry 36 exceeds the voltage bandwidth of the time-variant signal envelope 40, the ET modulated voltage V_(CC) will be able to track the time-variant signal envelope 40. As a result, the amplifier circuit 38 can be configured to amplify the RF signal 32 with low spectral regrowth 46 (e.g., harmonics, intermodulation distortions, etc.) outside the modulation bandwidth 44. As illustrated in FIG. 2B, the spectral regrowth 46 is approximately −60 dBm.

With reference back to FIG. 2A, it may be impractical to configure the tracker circuitry 36 to provide the voltage modulation bandwidth that exceeds the voltage bandwidth of the time-variant signal envelope 40. In this regard, a signal filter(s) 48, such as a low-pass filter, may be provided in the conventional ET system 30 to reduce the voltage bandwidth of the time-variant signal envelope 40 to match the voltage modulation bandwidth of the tracker circuitry 36. Notably, the signal filter(s) 48 can create signal distortions that may not be recovered through such techniques as digital pre-distortion (DPD). For example, due to inherent insertion loss of the signal filter(s) 48, the time-variant signal envelope 40 may have reduced amplitudes after passing through the signal filter(s) 48, thus making it difficult to correct through DPD. As a result, the RF signal 32, which is amplified by the amplifier circuit 38 based on the clipped time-variant signal envelope 40, may suffer degraded spectral performance, as shown in FIG. 2C.

FIG. 2C is a graphic diagram providing an exemplary illustration of a degraded power amplifier output spectrum 50 of the RF signal 32 of FIG. 2A when the voltage modulation bandwidth of the tracker circuitry 36 is less than the voltage bandwidth of the time-variant signal envelope 40. In a non-limiting example, the RF signal 32 is modulated to a modulation bandwidth 52 of 100 MHz. As discussed above in FIG. 2A, the signal filter(s) 48 may be used to reduce the voltage bandwidth of the time-variant signal envelope 40 to match the voltage modulation bandwidth of the tracker circuitry 36. Due to the unrecoverable signal distortion created by the signal filter(s) 48, the ET modulated voltage V_(CC) may not be able to track the time-variant signal envelope 40. As a result, the amplifier circuit 38 may cause the RF signal 32 to suffer a higher spectral regrowth 54 (e.g., harmonics, intermodulation distortions, etc.) outside the modulation bandwidth 52. As illustrated in FIG. 2C, the spectral regrowth 54 can be above −30 dBm.

Given the fact that it may be impractical and/or too costly to upgrade the tracker circuitry 36 of FIG. 2A to provide the voltage modulation bandwidth that matches or exceeds the voltage bandwidth of the time-variant signal envelope 40, it may be necessary to compress the voltage bandwidth of the time-variant signal envelope 40 to match the voltage modulation bandwidth of the tracker circuitry 36. Nevertheless, it may be desirable to compress the voltage bandwidth of the time-variant signal envelope 40 without causing excessive spectral regrowth in the RF signal 32.

In this regard, FIG. 3 is a schematic diagram of an exemplary ET system 56 configured to amplify an RF signal 58, which has a wide modulation bandwidth, based on an ET modulated voltage V_(CC) generated by tracker circuitry 60 having a limited voltage modulation bandwidth without causing spectral degradation in the RF signal 58.

The ET system 56 includes a signal input 62 configured to receive a digital signal 64, which is a digital form of the RF signal 58. The digital signal 64 corresponds to a signal modulation bandwidth BW_(S). The digital signal 64 inherently includes a number of signal amplitudes 66 and a number of signal phases 68. The signal amplitudes 66, which represent a time-variant amplitude envelope of the digital signal 64 and ultimately determine a time-variant amplitude envelope of the RF signal 58, correspond to an amplitude bandwidth BW_(A) that can be larger than the signal modulation bandwidth BW_(S).

Given that the voltage modulation bandwidth of the tracker circuitry 60 may be less than the amplitude bandwidth BW_(A) of the signal amplitudes 66, the ET system 56 is configured to compress the amplitude bandwidth BW_(A) of the signal amplitudes 66 to a level less than or equal to the voltage modulation bandwidth of the tracker circuitry 60. As opposed to employing the signal filter(s) 48 of FIG. 2A to compress the voltage bandwidth, which can lead to unrecoverable signal distortions, the ET system 56 is configured to compress the amplitude bandwidth BW_(A) of the signal amplitudes 66 in such a manner that a signal distortion(s) resulted from the bandwidth compression can be corrected through DPD. As discussed in detail below, the ET system 56 is configured to compress a predefined voltage waveform, which tracks time-variant amplitudes of a digital signal, to generate a modified voltage waveform at a reduced bandwidth (e.g., slew rate). To ensure that the signal distortion(s) resulting from the bandwidth compression can be corrected through such digital means as DPD, the ET system 56 is further configured to nonlinearly modify predefined amplitude(s) of the predefined voltage waveform to generate modified amplitude(s) of the modified voltage waveform that is consistently greater than or equal to the predefined amplitude(s) of the predefined voltage waveform. As such, the ET system 56 can amplify the RF signal 58 with improved linearity and efficiency, without degrading spectral performance of the RF signal 58.

The ET system 56 includes digital voltage processing circuitry 70 and digital signal processing circuitry 72. In a non-limiting example, the digital voltage processing circuitry 70 and the digital signal processing circuitry 72 can be provided in a transceiver circuit 74. The digital voltage processing circuitry 70 includes voltage look-up table (LUT) circuitry 76 and nonlinear bandwidth compression circuitry 78. The voltage LUT circuitry 76 is configured to receive the signal amplitudes 66 from the signal input 62 and generate a number of predefined voltage amplitudes 80 that track the signal amplitudes 66. In this regard, the predefined voltage amplitudes 80 can have a respective amplitude bandwidth identical to the amplitude bandwidth BW_(A). The nonlinear bandwidth compression circuitry 78 is configured to compress the signal amplitude bandwidth BW_(A) of the signal amplitudes 66 to generate a digital voltage signal 82.

The digital voltage signal 82 corresponds to a voltage modulation bandwidth BW_(V) that is less than or equal to the amplitude bandwidth BW_(A) (BS_(V)≤BW_(A)) and falls within the voltage modulation bandwidth limit of the tracker circuitry 60. In a non-limiting example, the nonlinear bandwidth compression circuitry 78 can compress the amplitude bandwidth BW_(A) into the voltage modulation bandwidth BW_(V) by generating the digital voltage signal 82 at a slower slew rate compared to the digital signal 64. To ensure that signal distortion(s) resulting from the bandwidth reduction can be digitally corrected through DPD, the nonlinear bandwidth compression circuitry 78 is configured to nonlinearly modify the predefined voltage amplitudes 80 to ensure that modified voltage amplitudes 84 are greater than or equal to the predefined voltage amplitudes 80, respectively, at all times. However, because the nonlinear bandwidth compression circuitry 78 modifies the predefined voltage amplitudes 80 nonlinearly, the modified voltage amplitudes 84 may not be proportionally related to the predefined voltage amplitudes 80 according to a constant ratio. More detailed discussion of the nonlinear bandwidth compression performed by the nonlinear bandwidth compression circuitry 78 is provided later in FIGS. 7-10.

The nonlinear bandwidth compression circuitry 78 is configured to provide the digital voltage signal 82 to a voltage output 86, which is coupled to a voltage digital-to-analog converter (DAC) 88. The voltage DAC 88 is configured to convert the digital voltage signal 82 into a target voltage signal 90 having a time-variant voltage envelope that tracks the modified voltage amplitudes 84. In a non-limiting example, the time-variant voltage envelope defines an ET target envelope for the tracker circuitry 60. Accordingly, the tracker circuitry 60 is configured to generate an ET modulated voltage V_(CC) tracking the time-variant voltage envelope of the target voltage signal 90.

The digital voltage processing circuitry 70 is configured to generate a number of voltage differential amplitudes 92 indicating amplitude differentials between the predefined voltage amplitudes 80 and the modified voltage amplitudes 84, respectively. Given that the modified voltage amplitudes 84 are consistently greater than or equal to the predefined voltage amplitudes 80, respectively, the voltage differential amplitudes 92 are always greater than or equal to zero.

The digital signal processing circuitry 72 receives the signal amplitudes 66 from the signal input 62. The digital signal processing circuitry 72 also receives the voltage differential amplitudes 92 from the digital voltage processing circuitry 70. The digital signal processing circuitry 72 is configured to perform DPD on the digital signal 64 based on the signal amplitudes 66 and the voltage differential amplitudes 92 to generate a pre-distorted digital signal 94 that includes a number of pre-distorted signal amplitudes 96, respectively. As such, the pre-distorted digital signal 94 can help correct nonlinear distortion introduced by the nonlinear bandwidth compression circuitry 78, thus helping to restore linearity in the RF signal 58.

The digital signal processing circuitry 72 provides the pre-distorted digital signal 94 to a signal output 98. The signal output 98 is coupled to a signal DAC 100 configured to convert the pre-distorted digital signal 94 into the RF signal 58. The ET system 56 also includes at least one amplifier circuit 102. The amplifier circuit 102 receives the RF signal 58 from the signal DAC 100 and amplifies the RF signal 58 based on the ET modulated voltage V_(CC) received from the tracker circuitry 60.

In summary, the nonlinear bandwidth compression circuitry 78 compresses the amplitude bandwidth BW_(A) to the voltage modulation bandwidth BW_(V) that is within the bandwidth capability of the tracker circuitry 60. The nonlinear bandwidth compression circuitry 78 also makes it possible to digitally correct the nonlinear distortion resulting from the bandwidth compression by ensuring the modified voltage amplitudes 84 are greater than or equal to the predefined voltage amplitudes 80, respectively, at all times. Accordingly, the digital signal processing circuitry 72 can pre-distort the digital signal 64 to cause the nonlinear distortion being corrected in the RF signal 58. As a result, as shown next in FIG. 4, it is possible to reduce spectral regrowth in the RF signal 58.

FIG. 4 is a graphic diagram providing an exemplary illustration of an improved power amplifier output spectrum 104 associated with the ET system 56 of FIG. 3. In a non-limiting example, the RF signal 58 is modulated to a modulation bandwidth 106 of 100 MHz. As a result of the bandwidth compression and digital pre-distortion performed by the digital voltage processing circuitry 70 and the digital signal processing circuitry 72, the RF signal 58 can be amplified with improved spectral regrowth 108 outside the modulation bandwidth 106. As illustrated in FIG. 4, the spectral regrowth 108 is approximately −60 dBm, which is comparable to the low spectral regrowth 46 in the desirable power amplifier output spectrum 42 of FIG. 2B.

FIG. 5 is a schematic diagram providing an exemplary more detailed illustration of the ET system 56 of FIG. 3. Common elements between FIGS. 3 and 5 are shown therein with common element numbers and will not be re-described herein.

The digital voltage processing circuitry 70 further includes voltage signal delay circuitry 110 and voltage combiner circuitry 112. The voltage signal delay circuitry 110 is coupled to the voltage LUT circuitry 76 and configured to delay the predefined voltage amplitudes 80 by a defined delay T to generate a number of delayed predefined voltage amplitudes 114. In a non-limiting example, the defined delay T equals an inherent processing delay of the nonlinear bandwidth compression circuitry 78. The voltage combiner circuitry 112 is coupled to the nonlinear bandwidth compression circuitry 78 and the voltage signal delay circuitry 110. The voltage combiner circuitry 112 is configured to combine the modified voltage amplitudes 84 and the delayed predefined voltage amplitudes to generate the voltage differential amplitudes 92, respectively.

The digital voltage processing circuitry 70 may include memory DPD (mDPD) circuitry 116 coupled to the nonlinear bandwidth compression circuitry 78. In a non-limiting example, the mDPD circuitry 116 is configured to pre-distort the digital voltage signal 82 to compensate for distortions that may be generated by the tracker circuitry 60 due to such factors as load impedance mismatch.

The digital signal processing circuitry 72 includes amplitude delay circuitry 118 configured to delay the signal amplitudes 66 by the defined delay T to generate a number of delayed signal amplitudes 120. The digital signal processing circuitry 72 also includes DPD circuitry 122 coupled to the amplitude delay circuitry 118 and the digital voltage processing circuitry 70. The DPD circuitry 122 is configured to digitally pre-distort the digital signal 64 based on the voltage differential amplitudes 92 and the delayed signal amplitudes 120 to generate a number of amplitude correction terms 124. An amplitude combiner 126 combines the amplitude correction terms 124 with the delayed signal amplitudes 120 to generate the pre-distorted signal amplitudes 96.

The DPD circuitry 122 may concurrently generate a number of phase correction terms 128. The digital signal processing circuitry 72 may also include phase delay circuitry 130 configured to delay the signal phases 68 by the defined delay T to generate a number of delayed signal phases 132. A phase combiner 134 combines the delayed signal phases 132 with the phase correction terms 128 to generate a number of pre-distorted signal phases 136. A polar modulator 138, in turn, modulates the pre-distorted signal amplitudes 96 and the pre-distorted signal phases 136 based on an RF carrier signal 140 to generate the pre-distorted digital signal 94 that includes the pre-distorted signal amplitudes 96 and the pre-distorted signal phases 136.

Alternatively to performing DPD on the digital signal 64 based on polar modulation, it may also be possible to perform DPD on the digital signal 64 based on in-phase/quadrature (I/O) modulation. In this regard, FIG. 6 is a schematic diagram of an exemplary ET system 56A configured to perform DPD on the digital signal 64 of FIG. 3 based on I/Q modulation. Common elements between FIGS. 3 and 6 are shown therein with common element numbers and will not be re-described herein.

The ET system 56A includes digital signal processing circuitry 72A, which may be provided in a transceiver circuit 74A with the digital voltage processing circuitry 70 of FIG. 3. The digital signal processing circuitry 72A includes digital splitter circuitry 142 configured to receive and split the digital signal 64 into a digital in-phase signal 144I having a number of in-phase signal amplitudes 146I and a digital quadrature signal 144Q having a number of quadrature signal amplitudes 146Q. The digital signal processing circuitry 72A includes amplitude summing circuitry 148 configured to generate the signal amplitudes 66 based on the in-phase signal amplitudes 146I and the quadrature signal amplitudes 146Q and provide the signal amplitudes 66 to the digital voltage processing circuitry 70.

The digital signal processing circuitry 72A includes in-phase/quadrature (I/O) DPD circuitry 150 configured to digitally pre-distort the digital in-phase signal 144I and the digital quadrature signal 144Q to generate a pre-distorted digital in-phase signal 152I and a pre-distorted digital quadrature signal 152Q, respectively. The digital signal processing circuitry 72A includes a signal output 98A coupled to an in-phase DAC 154I and a quadrature DAC 154Q. The in-phase DAC 154I and the quadrature DAC 154Q are configured to convert the pre-distorted digital in-phase signal 152I and the pre-distorted digital quadrature signal 152Q into an analog in-phase signal 156I and an analog quadrature signal 156Q, respectively. An I/Q combiner 158 combines the analog in-phase signal 156I and the analog quadrature signal 156Q into the RF signal 58.

As previously discussed in FIG. 3, to ensure that signal distortion(s) resulting from the bandwidth reduction can be digitally corrected through DPD, the nonlinear bandwidth compression circuitry 78 is configured to nonlinearly modify the predefined voltage amplitudes 80 to ensure that the modified voltage amplitudes 84 are greater than or equal to the predefined voltage amplitudes 80, respectively, at all times. In this regard, FIG. 7 is a schematic diagram providing an exemplary illustration of the nonlinear bandwidth compression circuitry 78 of FIG. 3 according to one embodiment of the present disclosure. Common elements between FIGS. 3 and 7 are shown therein with common element numbers and will not be re-described herein.

The nonlinear bandwidth compression circuitry 78 includes an input node 160, an output node 162, and a reference node 164. The nonlinear bandwidth compression circuitry 78 also includes a delay path 166 provided between the input node 160 and the reference node 164. The nonlinear bandwidth compression circuitry 78 also includes control circuitry 168, which can be a microprocessor, a microcontroller, or a field-programmable gate array (FPGA), for example. The control circuitry 168 can include a reference input interface 170 coupled to the reference node 164, an output interface 172 coupled to the output node 162, on or more input interfaces 174(1)-174(N), and a feedback interface 176. The nonlinear bandwidth compression circuitry 78 also includes one or more combiners 178(1)-178(N) coupled between the delay path 166 and the input interfaces 174(1)-174(N), respectively. The nonlinear bandwidth compression circuitry 78 further includes feedback circuitry 180 provided between the output interface 172 and the feedback interface 176.

The input node 160 is configured to receive the predefine voltage amplitudes 80 from the voltage LUT circuitry 76 of FIG. 3. The delay path 166 is configured to delay the predefined voltage amplitudes 80 by the defined delay T to generate a number of reference voltage amplitudes 182. The control circuitry 168 is configured to receive the reference voltage amplitudes 182 via the reference input interface 170 and generate the modified voltage amplitudes 84 that are greater than or equal to the reference voltage amplitudes 182, respectively, at all times. The control circuitry 168 provides the modified voltage amplitudes 84 to the output interface 172 and, thus, the output node 162.

Notably, the modified voltage amplitudes 84 are delayed from the predefined voltage amplitudes 80 by the defined delay T. This is necessary to ensure that a time-variant modified amplitude envelope defined by the modified voltage amplitudes 84 is consistently greater than or equal to the time-variant predefined amplitude envelope defined by the predefined voltage amplitudes 80.

In this regard, FIG. 8 is a graphic diagram 184 providing an exemplary illustration of a time-variant modified amplitude envelope 186 defined by the modified voltage amplitudes 84 of FIG. 7 that is always greater than or equal to a time-variant predefined amplitude envelope 188 defined by the predefined voltage amplitudes 80 of FIG. 7. As shown in FIG. 8, to ensure that the modified voltage amplitudes 84 are consistently greater than or equal to the predefined voltage amplitudes 80, the time-variant modified amplitude envelope 186 needs to be greater than or equal to the time-variant predefined amplitude envelope 188 both at a rising edge 190 and a falling edge 192 of the time-variant predefined amplitude envelope 188. In particular, the nonlinear bandwidth compression circuitry 78 needs to examine a defined number of predefined voltage amplitudes (e.g., via buffering) in the future to help ensure that the time-variant modified amplitude envelope 186 is always greater than the time-variant predefined amplitude envelope 188 at the rising edge 190. In this regard, the defined delay T reflects the look-ahead operation performed by the nonlinear bandwidth compression circuitry 78.

Notably, the time-variant modified amplitude envelope 186 rises ahead of the time-variant predefined amplitude envelope 188 at the rising edge 190 and falls behind the time-variant predefined amplitude envelope 188 at the falling edge 192. This is an indication that the modified voltage amplitudes 84 generated by the nonlinear bandwidth compression circuitry 78 correspond to a reduced slew rate compared to the predefined voltage amplitudes 80.

Accordingly, the modified voltage amplitudes 84 correspond to a reduced voltage modulation bandwidth relative to the predefined voltage amplitudes 80.

With reference back to FIG. 7, the delay path 166 can include one or more delay circuits 194(1)-194(N). The delay circuits 194(1)-194(N) may be provided in series between the input node 160 and the reference node 164. The delay circuits 194(1)-194(N) are configured to generate one or more delta delays τi (1≤i≤N). In this regard, the defined delay T of the delay path 166 can be determined based on equation (Eq. 1) below.

T=D _(P)+Σ₁ ^(N) τi  (Eq. 1)

In the equation (Eq. 1) above, D_(P) represents propagation delay between the delay circuits 194(1)-194(N), which may be negligible. Accordingly, the defined delay T can be said to be approximately equal to a sum of the delta delays τi (1≤i≤N) of the delay circuits 194(1)-194(N), as shown in equation (Eq. 2) below.

T≈Σ ₁ ^(N) τi  (Eq. 2)

In one non-limiting example, the delay path 166 can include at least two delay circuits having the delta delays τ being equal to a clock duration of a sampling frequency at which the signal amplitudes 66 are sampled. In another non-limiting example, the delay path 166 can include at least two delay circuits having the delta delays τ being different.

An exact number of the delay circuits 194(1)-194(N) may depend on a number of factors. In a non-limiting example, the number of the delay circuits N can be determined based on equation (Eq. 3) below.

$\begin{matrix} {N \geq \frac{{Sample}\mspace{14mu} {Rate}}{\left( {{Modulation}\mspace{14mu} {Bandwidth}} \right)*2\; R}} & \left( {{Eq}.\mspace{11mu} 3} \right) \end{matrix}$

In the equation (Eq. 3) above, R represents a ratio between New Slew Rate and Original Slew Rate. For example, if the Sample Rate equals 491.52 MHz, the Original Slew Rate equals 400V/second, the New Slew Rate equals 100V/second, and the Modulation Bandwidth equals 100 MHz, then the number of delay circuits N should be greater than or equal to 9.83. As such, the delay path 166 would need to include 10 delay circuits. Accordingly, 10 combiners would need to be included in the nonlinear bandwidth compression circuitry 78 as well.

The delay circuits 194(1)-194(N) include a number of input ends 196(1)-196(N) and a number of output ends 198(1)-198(N), respectively. Accordingly, the combiners 178(1)-178(N) are provided in parallel between the input ends 196(1)-196(N) and the input interfaces 174(1)-174(N), respectively.

For the convenience of reference and illustration, the input interface 174(1) is also referred to as a first input interface 174(1), the input interface 174(N) is also referred to as a last input interface 174(N), and the input interfaces 174(2)-174(3) are also referred to as intermediate input interfaces 174(2)-174(3). The intermediate input interfaces 174(2)-174(3) are succeeding to the first input interface 174(1), and the last input interface 174(N) is succeeding to the intermediate input interfaces 174(2)-174(3). Accordingly, the first input interface 174(1) is an immediate preceding input interface to the input interface 174(2), the input interface 174(2) is an immediate preceding input interface to the input interface 174(3), and so on.

Similarly, the delay circuit 194(1) is also referred to as a first delay circuit 194(1), the delay circuit 194(N) is referred to as a last delay circuit 194(N), and the delay circuits 194(2)-194(3) are also referred to as intermediate delay circuits 194(2)-194(N). The intermediate delay circuits 194(2)-194(3) are succeeding to the first delay circuit 194(1), and the last delay circuit 194(N) is succeeding to the intermediate delay circuits 194(2)-194(3). Accordingly, the first delay circuit 194(1) is an immediate preceding delay circuit to the delay circuit 194(2), the delay circuit 194(2) is an immediate preceding delay circuit to the delay circuit 194(3), and so on. The input end 196(1) of the first delay circuit 194(1) is coupled to the input node 160. The input ends 196(2)-196(N) are coupled to the output ends 198(1)-198(3), respectively. The output end 198(N) is coupled to the reference node 164.

The combiner 178(1) is also referred to as a first combiner 178(1), the combiner 178(N) is referred to as a last combiner 178(N), and the combiners 178(2)-178(3) are also referred to as intermediate combiners 178(2)-178(N). The intermediate combiners 178(2)-178(3) are succeeding to the first combiner 178(1), and the last combiner 178(N) is succeeding to the intermediate combiners 178(2)-178(3). Accordingly, the first combiner 178(1) is an immediate preceding combiner to the combiner 178(2), the combiner 178(2) is an immediate preceding combiner to the combiner 178(3), and so on. The first combiner 178(1) is coupled between the input end 196(1) of the first delay circuit 194(1) and the first input interface 174(1). The intermediate combiners 178(2)-178(3) are coupled between the input ends 196(2)-196(3) of the intermediate delay circuits 194(2)-194(3) and the intermediate input interfaces 174(2)-174(3), respectively. The last combiner 178(N) is coupled between the input end 196(N) of the last delay circuit 194(N) and the last input interface 174(N).

The first delay circuit 194(1) is configured to receive the predefined voltage amplitudes 80 at the input end 196(1) and output the predefined voltage amplitudes 80 after delta delay τ1. The intermediate delay circuits 194(2)-194(3) are configured to receive the predefined voltage amplitudes 80 at the input ends 196(2)-196(3) and output the predefined voltage amplitudes 80 at the output ends 198(2)-198(3) after the delta delays τi (2≤i≤3), respectively. The last delay circuit 194(N) is configured to receive the predefined voltage amplitudes 80 at the input end 196(N) and output the reference voltage amplitudes 182 at the output end 198(N) after the delta delay τN.

The combiners 178(1)-178(N) are configured to receive the predefined voltage amplitudes 80 via the input ends 196(1)-196(N), respectively. The combiners 178(1)-178(N) combine the predefined voltage amplitudes 80 with one or more delta voltages ΔV_(i) ((1≤i≤N) to generate a number of adjusted predefined voltage amplitudes 200(1)-200(N), respectively. The combiners 178(1)-178(N) provide the adjusted predefined voltage amplitudes 200(1)-200(N) to the input interfaces 174(1)-174(N), respectively. In a non-limiting example, the delta voltages ΔV_(i) ((1≤i≤N) are determined based on the equation (Eq. 4) below.

ΔV _(i)=−(N+1−i)*dV  (Eq. 4)

In the equation (Eq. 4), dV represents a voltage unit, which can be 1 volt (1V) for example. In a non-limiting example, dV can be determined according to equation (Eq. 5) below.

dV=(Desired Slew Rate)/(Digital Signal Sample Rate)  (Eq. 5)

According to equation (Eq. 3), the first combiner 178(1) has a delta voltage ΔV₁=−N*dV, the intermediate combiner 178(2) has a delta voltage ΔV₂=−(N−1)*dV, the intermediate combiner 178(3) has a delta voltage ΔV₃=−(N−2)*dV, and the last combiner 178(N) has the delta voltage ΔV_(N)=−dV.

The feedback circuitry 180 includes a feedback delay circuit 202 configured to receive the modified voltage amplitudes 84 and delay the modified voltage amplitudes 84 by a respective delta delay τ. The feedback circuitry 180 also includes a feedback combiner 204 configured to generate a number of feedback voltage amplitudes 206. In a non-limiting example, the feedback combiner 204 is configured to generate the feedback voltage amplitudes 206 by reducing the modified voltage amplitudes 84 by a respective delta voltage (e.g., −dV). The feedback combiner 204 then provides the feedback voltage amplitudes 206 to the feedback interface 176.

For each of the modified voltage amplitudes 84, the control circuitry 168 is configured to output maximum voltage amplitude at the output interface 172. The maximum voltage amplitude is selected from each of the adjusted predefined voltage amplitudes 200(1)-200(N) received via the input interfaces 174(1)-174(N), each of the reference voltage amplitudes 182 received via the reference input interface 170, and each of the feedback voltage amplitudes 206 received via the feedback interface 176. To help illustrate how the control circuitry 168 generates the modified voltage amplitudes 84, a non-limiting example is discussed below with reference to FIG. 9.

FIG. 9 is a schematic diagram of exemplary nonlinear bandwidth compression circuitry 78A configured according to a specific embodiment of the nonlinear bandwidth compression circuitry 78 of FIG. 7. Common elements between FIGS. 7 and 9 are shown therein with common element numbers and will not be re-described herein.

The nonlinear bandwidth compression circuitry 78A includes a delay path 166A. The delay path 166A includes four delay circuits 194(1)-194(4), wherein the delay circuit 194(1) is also referred as the first delay circuit 194(1), the delay circuits 194(2)-194(3) are also referred as the intermediate delay circuits 194(2)-194(3), and the delay circuit 194(4) is also referred to as the last delay circuit 194(4). The delay circuits 194(1)-194(4) are configured to have an identical delta delay τ. The delay circuits 194(1)-194(4) have four input ends 196(1)-196(4) and four output ends 198(1)-198(4), respectively.

The nonlinear bandwidth compression circuitry 78A includes control circuitry 168A, which has four input interfaces 174(1)-174(4). The input interface 174(1) is also referred as the first input interface 174(1), the input interfaces 174(2)-174(3) are also referred as the intermediate input interfaces 174(2)-174(3), and the input interface 174(4) is also referred to as the last input interface 174(4).

The nonlinear bandwidth compression circuitry 78A also includes four combiners 178(1)-178(4), coupled between the input ends 196(1)-196(4) and the input interfaces 174(1)-174(4), respectively. The combiner 178(1) is also referred as the first combiner 178(1), the combiners 178(2)-178(3) are also referred as the intermediate combiners 178(2)-178(3), and the combiner 178(4) is also referred to as the last combiner 178(4). The combiners 178(1)-178(4) have delta voltages ΔV₁−ΔV₄ equal to −4*dV, −3*dV, −2*dV, and −dV, respectively.

Table 1 below provides a non-limiting example of the nonlinear bandwidth compression circuitry 78A configured to generate the modified voltage amplitudes 84 with a positive slew rate (e.g., rising edge).

At any given time t (corresponds to each row in Table 1), a corresponding modified voltage amplitude (corresponding to column K in Table 1) is determined by selecting a maximum value among columns E-J in Table 1. Given that the nonlinear bandwidth compression circuitry 78A includes four delay circuits 194(1)-194(4), the defined delay T of the delay path 166A equals approximately 4τ. As such, the modified voltage amplitudes 84 may be undefined or pre-loaded with some values until time T₀+4τ.

At time T₀+4τ, the maximum voltage amplitude is determined by the reference voltage amplitude 182 in column E (=1). Accordingly, the modified voltage amplitude 84 in column K is determined by the reference voltage amplitude 182. In this regard, the modified voltage amplitude 84 equals the reference voltage amplitude 182 in column E.

At time T₀+5τ, the maximum voltage amplitude is determined by the adjusted predefined voltage amplitude 200(1) in column F (=1.5). In the meantime, the reference voltage amplitude 182 in column E remains at 1. As such, the modified voltage amplitude 84 in column K is determined by the adjusted predefined voltage amplitude 200(1) in column F, which is greater than the reference voltage amplitude 182 in column E.

At time T₀+6τ, the maximum voltage amplitude is determined by the adjusted predefined voltage amplitude 200(2) in column G (=2.5). In the meantime, the reference voltage amplitude 182 in column E remains at 1 and the adjusted predefined voltage amplitude 200(1) in column F remains at 1.5. As such, the modified voltage amplitude 84 in column K is determined by the adjusted predefined voltage amplitude 200(2) in column G, which is greater than the reference voltage amplitude 182 in column E.

At time T₀+7τ, the maximum voltage amplitude is determined by the adjusted predefined voltage amplitude 200(3) in column H (=3.5). In the meantime, the reference voltage amplitude 182 in column E remains at 1, the adjusted predefined voltage amplitude 200(1) in column F remains at 1.5, and the adjusted predefined voltage amplitude 200(2) in column G remains at 2.5. As such, the modified voltage amplitude 84 in column K is determined by the adjusted predefined voltage amplitude 200(3) in column H, which is greater than the reference voltage amplitude 182 in column E.

At time T₀+8τ, the maximum voltage amplitude is determined by the adjusted predefined voltage amplitude 200(4) in column I (=4.5). In the meantime, the reference voltage amplitude 182 in column E remains at 1, the adjusted predefined voltage amplitude 200(1) in column F remains at 1.5, the adjusted predefined voltage amplitude 200(2) in column G remains at 2.5, and the adjusted predefined voltage amplitude 200(3) in column H remains at 3.5. As such, the modified voltage amplitude 84 in column K is determined by the adjusted predefined voltage amplitude 200(4) in column I, which is greater than the reference voltage amplitude 182 in column E.

At time T₀+9τ, the maximum voltage amplitude is once again determined by the reference voltage amplitude 182 in column E (=5.5). Accordingly, the modified voltage amplitude 84 in column K equals the reference voltage amplitude 182. In this regard, the modified voltage amplitude 84 equals the reference voltage amplitude 182 in column E.

A couple of observations can be made from the examples shown in Table 1. First, the nonlinear bandwidth compression circuitry 78A cannot generate the modified voltage amplitudes 84 until after the defined delay T of the delay path 166A. Second, by selecting the maximum voltage amplitude among columns E-J at any given time t, the nonlinear bandwidth compression circuitry 78A can ensure that the modified voltage amplitudes 84 are always greater than or equal to the reference voltage amplitudes 182, and thus the predefined voltage amplitudes 80.

Table 2 below provides a non-limiting example of the nonlinear bandwidth compression circuitry 78A configured to generate the modified voltage amplitudes 84 with a negative slew rate (e.g., falling edge).

FIG. 10 is a schematic diagram of exemplary nonlinear bandwidth compression circuitry 78B configured according to another embodiment of the present disclosure. Common elements between FIGS. 7 and 10 are shown therein with common element numbers and will not be re-described herein.

The nonlinear bandwidth compression circuitry 78B includes control circuitry 168B, which may be functionally equivalent to the control circuitry 168 of FIG. 7. The control circuitry 168B includes a number of input interfaces 208(1)-208(N), an output interface 210, a reference input interface 212, and a reference interface 214. The nonlinear bandwidth compression circuitry 78B includes a number of combiners 216(1)-216(N). The combiners 216(1)-216(N) are coupled in parallel between input ends 196(1)-196(N) and the input interfaces 208(1)-208(N), respectively.

The nonlinear bandwidth compression circuitry 78B includes input math transform circuitry 218 and output math transform circuitry 220. The input math transform circuitry 218 is provided between the input node 160 and the delay path 166. The output math transform circuitry 220 is provided between the output interface 210 and the output node 162.

In one non-limiting example, the input math transform circuitry 218 can be a voltage-to-logarithm transform circuitry and the output math transform circuitry 220 can be a logarithm-to-voltage transform circuitry. FIG. 11A is a schematic diagram of an exemplary voltage-to-logarithm transform circuitry 218A, which can be provided in the nonlinear bandwidth compression circuitry 78B of FIG. 10 as the input math transform circuitry 218 to perform voltage-to-logarithm math transform. FIG. 11B is a schematic diagram of an exemplary logarithm-to-voltage transform circuitry 220A, which can be provided in the nonlinear bandwidth compression circuitry 78B of FIG. 10 as the output math transform circuitry 220 to perform logarithm-to-voltage math transform.

In another non-limiting example, the input math transform circuitry 218 can be a square transform circuitry and the output math transform circuitry 220 can be a square-root transform circuitry. FIG. 11C is a schematic diagram of an exemplary square transform circuitry 218B, which can be provided in the nonlinear bandwidth compression circuitry 78B of FIG. 10 as the input math transform circuitry 218 to perform square math transform. FIG. 11D is a schematic diagram of an exemplary square-root transform circuitry 220B, which can be provided in the nonlinear bandwidth compression circuitry 78B of FIG. 10 as the output math transform circuitry 220 to perform square-root math transform.

FIG. 12 is a schematic diagram of exemplary nonlinear bandwidth compression circuitry 78C configured according to another embodiment of the present disclosure. Common elements between FIGS. 7 and 12 are shown therein with common element numbers and will not be re-described herein.

The nonlinear bandwidth compression circuitry 78C includes positive slew rate circuitry 222 and negative slew rate circuitry 224. The positive slew rate circuitry 222 includes the delay path 166, the combiners 178(1)-178(N), the input interfaces 174(1)-174(N), and the reference input interface 170. The negative slew rate circuitry 224 includes the feedback circuitry 180, the feedback interface 176, and the output interface 172. The control circuitry 168 is shared by the positive slew rate circuitry 222 and the negative slew rate circuitry 224.

Those skilled in the art will recognize improvements and modifications to the preferred embodiments of the present disclosure. All such improvements and modifications are considered within the scope of the concepts disclosed herein and the claims that follow. 

What is claimed is:
 1. Nonlinear bandwidth compression circuitry comprising: an input node, an output node, and a reference node; a delay path provided between the input node and the reference node; control circuitry comprising: a reference input interface coupled to the reference node; an output interface coupled to the output node; one or more input interfaces; and a feedback interface; one or more combiners provided in parallel between the delay path and the one or more input interfaces in the control circuitry, respectively; and feedback circuitry provided between the output interface and the feedback interface.
 2. The nonlinear bandwidth compression circuitry of claim 1 wherein: the input node is configured to receive a plurality of predefined voltage amplitudes; the delay path is configured to delay the plurality of predefined voltage amplitudes by a defined delay to generate a plurality of reference voltage amplitudes at the reference node; and the control circuitry is configured to receive the plurality of reference voltage amplitudes via the reference input interface and generate a plurality of modified voltage amplitudes greater than or equal to the plurality of reference voltage amplitudes, respectively, at the output interface.
 3. The nonlinear bandwidth compression circuitry of claim 2 wherein the control circuitry is further configured to generate the plurality of modified voltage amplitudes at a reduced slew rate compared to the plurality of predefined voltage amplitudes.
 4. The nonlinear bandwidth compression circuitry of claim 2 wherein: the delay path comprises one or more delay circuits provided in series between the input node and the reference node and configured to generate one or more delta delays, respectively; and the defined delay of the delay path equals approximately a sum of the one or more delta delays.
 5. The nonlinear bandwidth compression circuitry of claim 4 wherein the delay path comprises at least two delay circuits configured to generate equal delta delays.
 6. The nonlinear bandwidth compression circuitry of claim 4 wherein the delay path comprises at least two delay circuits configured to generate different delta delays.
 7. The nonlinear bandwidth compression circuitry of claim 4 wherein: the one or more delay circuits comprise one or more input ends and one or more output ends, respectively; and the one or more combiners are provided in parallel between the one or more input ends and the one or more input interfaces, respectively.
 8. The nonlinear bandwidth compression circuitry of claim 7 wherein: the one or more input interfaces comprises a first input interface, one or more intermediate input interfaces succeeding to the first input interface, and a last input interface succeeding to the one or more intermediate input interfaces; the one or more delay circuits comprise a first delay circuit, one or more intermediate delay circuits succeeding to the first delay circuit, and a last delay circuit succeeding to the one or more intermediate delay circuits, wherein: a respective input end of the first delay circuit is coupled to the input node; a respective input end of each of the one or more intermediate delay circuits and the last delay circuit is coupled to a respective output end of a preceding delay circuit among the one or more delay circuits; and a respective output end of the last delay circuit is coupled to the reference node; the one or more combiners comprise a first combiner, one or more intermediate combiners succeeding to the first combiner, and a last combiner succeeding to the one or more intermediate combiners, wherein: the first combiner is coupled between the respective input end of the first delay circuit and the first input interface; the one or more intermediate combiners are coupled between respective input nodes of the one or more intermediate delay circuits and the one or more intermediate input interfaces, respectively; and the last combiner is coupled between a respective input interface of the last delay circuit and the last input interface.
 9. The nonlinear bandwidth compression circuitry of claim 8 wherein: the first delay circuit is configured to: receive the plurality of predefined voltage amplitudes at the respective input end; and output the plurality of predefined voltage amplitudes after a respective delta delay; the one or more intermediate delay circuits each configured to: receive the plurality of predefined voltage amplitudes from an immediate preceding delay circuit among the one or more delay circuits; and output the plurality of predefined voltage amplitudes after a respective delta delay; and the last delay circuit is configured to: receive the plurality of predefined voltage amplitudes from the immediate preceding delay circuit among the one or more delay circuits; and output the plurality of reference voltage amplitudes after a respective delta delay.
 10. The nonlinear bandwidth compression circuitry of claim 8 wherein each of the one or more combiners is configured to: receive the plurality of predefined voltage amplitudes; combine the plurality of predefined voltage amplitudes with a respective delta voltage to generate a plurality of adjusted predefined voltage amplitudes; and provide the plurality of adjusted predefined voltage amplitudes to a coupled input interface among the one or more input interfaces.
 11. The nonlinear bandwidth compression circuitry of claim 10 wherein: the first combiner is configured to have the respective delta voltage equal a predefined integer number multiplied by a voltage unit; and each of the one or more intermediate combiners and the last combiner is configured to have the respective delta voltage that is one voltage unit higher than the respective delta voltage of an immediate preceding combiner among the one or more combiners.
 12. The nonlinear bandwidth compression circuitry of claim 11 wherein the predefined integer number is determined based on a count of the one or more combiners.
 13. The nonlinear bandwidth compression circuitry of claim 11 wherein the voltage unit equals a desired slew rate divided by a sample rate of a digital signal.
 14. The nonlinear bandwidth compression circuitry of claim 10 wherein the feedback circuitry comprises: a feedback delay circuit configured to receive and delay the plurality of modified voltage amplitudes by a respective delta delay; and a feedback combiner configured to generate a plurality of feedback voltage amplitudes by reducing the plurality of modified voltage amplitudes by a respective delta voltage and provide the plurality of feedback voltage amplitudes to the feedback interface.
 15. The nonlinear bandwidth compression circuitry of claim 14 wherein for each of the plurality of modified voltage amplitudes, the control circuitry is further configured to output a maximum voltage amplitude selected from each of the plurality of adjusted predefined voltage amplitudes received via the one or more input interfaces, each of the plurality of reference voltage amplitudes received via the reference input interface, and each of the plurality of feedback voltage amplitudes received via the feedback interface.
 16. The nonlinear bandwidth compression circuitry of claim 1 further comprising: input math transform circuitry provided between the input node and the delay path; and output math transform circuitry provided between the output interface of the control circuitry and the output node.
 17. The nonlinear bandwidth compression circuitry of claim 16 wherein: the delay path comprises one or more delay circuits provided in series and configured to generate one or more delta delays, respectively; the one or more delay circuits comprise one or more input ends and one or more output ends, respectively; and the one or more combiners are provided in parallel between the one or more input ends and the one or more input interfaces, respectively.
 18. The nonlinear bandwidth compression circuitry of claim 16 wherein the input math transform circuitry is a voltage-to-logarithm transform circuitry and the output math transform circuitry is a logarithm-to-voltage transform circuitry.
 19. The nonlinear bandwidth compression circuitry of claim 16 wherein the input math transform circuitry is a square transform circuitry and the output math transform circuitry is a square-root transform circuitry.
 20. The nonlinear bandwidth compression circuitry of claim 1 further comprising: positive slew rate circuitry comprising the delay path and the one or more combiners; negative slew rate circuitry comprising the feedback circuitry; and the control circuitry shared by the positive slew rate circuitry and the negative slew rate circuitry. 